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189442064 = 24710116747
BaseRepresentation
bin10110100101010…
…10100000010000
3111012110122122202
423102222200100
5341444121224
630444222332
74460142140
oct1322524020
9435418582
10189442064
1197a31699
125353a9a8
133032b7c6
141b234920
1511970eae
hexb4aa810

189442064 has 40 divisors (see below), whose sum is σ = 423657408. Its totient is φ = 80380800.

The previous prime is 189442063. The next prime is 189442091. The reversal of 189442064 is 460244981.

It is a super-2 number, since 2×1894420642 = 71776591225160192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (189442061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2939 + ... + 19685.

Almost surely, 2189442064 is an apocalyptic number.

189442064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211828704).

189442064 is an abundant number, since it is smaller than the sum of its proper divisors (234215344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189442064 is a wasteful number, since it uses less digits than its factorization.

189442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16863 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 189442064 is about 13763.7954067910. The cubic root of 189442064 is about 574.3264339642.

The spelling of 189442064 in words is "one hundred eighty-nine million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 11312 16747 33494 66988 117229 133976 234458 267952 468916 937832 1691447 1875664 3382894 6765788 11840129 13531576 23680258 27063152 47360516 94721032 189442064